Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600c |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2555280000000 = 210 · 33 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7008,-209988] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:100:1] |
Generators of the group modulo torsion |
j |
2379293284/159705 |
j-invariant |
L |
4.0617362993155 |
L(r)(E,1)/r! |
Ω |
0.52399167545135 |
Real period |
R |
1.9378820740724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bw1 10920v1 |
Quadratic twists by: -4 5 |